Let X be a random variable with the following probability distribution. A) Find the expectation E(X) of X. B)Find the variance Var(X) of X . Let X be a random variable with the followValue x of XP(X=x)-20.25-10.150.350.25Complete the following. (If necessary, con:(a) Find the expectation E (.X) of X.E(Y)1.

Given data, X P(X=x) -2 0.25 -1 0.15 0 0.35 1 0.25

Answered: Let X be a random variable with the…

Let X be a random variable with the following probability distribution. A) Find the expectation E(X) of X. B)Find the variance Var(X) of X .

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 42CR

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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

Let X be a random variable with the following probability distribution. A) Find the expectation E(X) of X. B)Find the variance Var(X) of X .

Let X be a random variable with the follow
Value x of X
P(X=x)
-2
0.25
-1
0.15
0.35
0.25
Complete the following. (If necessary, con:
(a) Find the expectation E (.X) of X.
E(Y)
1.

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